algebra word problem

[PMTSTUMPED]

I am a reference librarian at a public library. A patron called me this morning and asked for my help solving this problem. I did the best I could with with our algebra resources, but I'm stuck. Here's the problem:

A man is driving to work on his motorcycle when it breaks down. He must walk the rest of the way. The total miles for the trip is 25. It takes him 2 hours. He rode the motorcycle at 45 mph, and walked at 6 mph.
The question: How many miles did he go on the motorcycle before it broke down?

I tried to come up with an equation, starting with time x rate = distance, but didnt get far.

Thanks

 

[Denis]

Let x = time on motorcycle ; so 2-x = walking time

45x + 6(2 - x) = 25
45x + 12 - 6x = 25
39x = 13
x = 13/39 = 1/3 of an hour

1/3 hour @45 = 15 miles.

Walked = 1 2/3 hours @ 6 = 5/3 * 6 = 10 miles; so all's ok, since 15 + 10 = 25 :idea:

 

[PMTSTUMPED]

thanks!